Jharne De and Ranjana Kumar Solutions for Chapter: Linear Equations in One Variable, Exercise 3: Work It Out

One dozen pencils is to be distributed between two children, so that the number of pencils the second child gets is double the number of pencils the first child gets. How many pencils do the two children get? 

How many kg of basmati rice worth $₹96$ per $\mathrm{kg}$ should be mixed with $15 \mathrm{kg}$ of basmati rice worth $₹80$ per kg to obtain a mixture costing $₹90$ per $\mathrm{kg}$?

There are some roses in a flowerpot and some bees are hovering around. If one bee lands on each flower, one bee is left. If two bees land on each flower, one flower is left. Find the number of bees and the number of roses in the flowerpot.

 If half of a number when added to itself gives $63$, then find the number.

Which value of $y$ would satisfy the equation $5y +8=3y-2?$

Divide $1,300$ between two persons such that $25\%$ of one's share is equal to the $40\%$ share of the other. Find the share of each person.

 A number is $6$ times the other number. If $9$ is added to both the numbers, then one number becomes $5$ times the other number. Find the numbers.

Solve and check: $\frac{3(1-x)+2(1+x)}{4+3x} = 5$